If X and Y are integers, is the value of X(Y+1) even?
(1)X and Y are prime numbers
(2) Y>7
Answer: C both statements together are sufficient, but neither statement alone is sufficient.
问一下为什么不是E? 即使Y〉7,X,和Y都是质数,也可能X为2,这样就成了偶数,如果不是2 的数也就是奇数咯?这种想法对么。。。
Tanya prepared 4 different letters to send to 4 different addresses. For each letter, she prepared a envelpe with its correct address. If 4 letters are to be put into the 4 envelpe at random. What is the probability that only 1 letter will be put into the envelpe with its correct address? Answer: 1/3
请问怎么做的哦?
第一题,(1)+(2) ==> Y>7而且Y是质数就意味着,Y一定是奇数,所以Y+1一定是偶数,所以不管X是什么,X(Y+1)都一定是偶数,所以可以确定
第二题 因为只有一封信是到达了正确的地址,所以另外三封信全部都是寄错了。 这种你可以从2个信封开始推,一直推到N个信封,我画了个表格,看一下就知道了。最后是C41 *2/P44 =1/3
当是2个信封
配对数 |
0 |
1 |
2 |
可能数 |
1 |
0 |
1 |
当是3个信封
配对数 |
0 |
1 |
2 |
3 |
可能数 |
P33- C31-1=2 |
C31 |
0 |
1 |
当是4个信封
配对数 |
0 |
1 |
2 |
3 |
4 |
可能数 |
P44 -1- C42 - C41 *2=9 |
C41 *(3个信封表格配对数为0的数值=2) |
C42 |
0 |
1 |
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